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30145510332441 = 3371710618842937
BaseRepresentation
bin1101101101010110011000…
…11011110101100000011001
310221201212211110001112022000
412312223030123311200121
512422401001121114231
6144040353430351213
76230640563662530
oct666531433654031
9127655743045260
1030145510332441
119672703766549
12346a49a4bb509
1313a892b7c1b8a
1476309c761317
1537424965b6e6
hex1b6acc6f5819

30145510332441 has 64 divisors (see below), whose sum is σ = 54093312898560. Its totient is φ = 16197429012480.

The previous prime is 30145510332409. The next prime is 30145510332461. The reversal of 30145510332441 is 14423301554103.

30145510332441 is a `hidden beast` number, since 3 + 0 + 14 + 551 + 0 + 33 + 24 + 41 = 666.

It is not a de Polignac number, because 30145510332441 - 25 = 30145510332409 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30145510332396 and 30145510332405.

It is not an unprimeable number, because it can be changed into a prime (30145510332401) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1012476 + ... + 7830461.

It is an arithmetic number, because the mean of its divisors is an integer number (845208014040).

Almost surely, 230145510332441 is an apocalyptic number.

It is an amenable number.

30145510332441 is a deficient number, since it is larger than the sum of its proper divisors (23947802566119).

30145510332441 is a wasteful number, since it uses less digits than its factorization.

30145510332441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8844031 (or 8844025 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 30145510332441 its reverse (14423301554103), we get a palindrome (44568811886544).

The spelling of 30145510332441 in words is "thirty trillion, one hundred forty-five billion, five hundred ten million, three hundred thirty-two thousand, four hundred forty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1061 1071 3183 3213 7427 9549 18037 22281 28647 54111 66843 126259 162333 200529 378777 486999 1136331 3408993 8842937 26528811 61900559 79586433 150329929 185701677 238759299 450989787 557105031 1052309503 1352969361 1671315093 3156928509 4058908083 9382356157 9470785527 28147068471 28412356581 65676493099 84441205413 159500054669 197029479297 253323616239 478500164007 591088437891 1116500382683 1435500492021 1773265313673 3349501148049 4306501476063 10048503444147 30145510332441